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The SIRM (Stochastic Inclined Rods Model) proposed by H. Matsuura and M. Nakano can explain the muscle's motion perfectly, but the intermolecular potential between myosin head and G-actin is too simple and only repulsive potential is considered. In this paper we study the SIRM with different complex potential and discuss the effect of the spring on the system. The calculation results show that the spring, the effective radius of the G-actin and the intermolecular potential play key roles in the motion. The sliding speed is about $4.7\times10^{-6}m/s$ calculated from the model which well agrees with the experimental data., Comment: 9 pages, 6 figures

We study the ion gyroviscous effect and Hall magnetohydrodynamic (MHD) effect separately using the modified MHD simulation of the magnetopause. Simulations show that the ion gyroviscous effect is on the order of a characteristic scale of ion Larmor radius and is mainly limited near the magnetosheath boundary. The Hall MHD effect is on the order of a characteristic scale of ion inertial length and occurs mainly in the central region of the current layer. The magnetic field component out of the simulation plane has a bipolar structure near the magnetosheath boundary from the ion gyroviscous effect and a quadrupole structure in the central region of the current layer from the Hall MHD effect. These results are of fundamental importance in understanding the reconnection processes in space and astrophysical plasma.

This paper presents the modified magnetohydrodynamic (MHD) model and simulations of solar wind-magnetosphere interactions. We use the two-dimensional and three-component, compressible, resistive, ion gyroviscous and Hall MHD model, i.e., including the ion finite Larmor radius (FLR) and Hall MHD effects, but neglecting the electron inertia and electron FLR effects. The composed dynamic pressure pulses (shear variations in the flow velocity) in the solar wind form gusts that continually buffet the magnetosphere and cause the time-dependent magnetic reconnection at the magnetopause. The results show that the magnetic field and the flow velocity components perpendicular to the reconnection plane can be generated in magnetopause current layer. The vortical flow structures can also occur in the magnetospheric side region. These results are responsible for non-ideal MHD properties of the plasma fluid, i.e., ion FLR and Hall MHD effects.